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Educational and Psychological Measurement
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Exact Confidence Limits for Proportions

Kenneth J. Berry

Colorado State University

Paul W. Mielke, Jr.

Colorado State University

Steven G. Helmericks

Colorado State University

A subroutine is presented to calculate exact confidence limits for the number of successes in a finite population, given a random sample drawn without replacement. The limits are calculated recursively from a series of hypergeometric probability distributions. The use of arbitrary starting values in each recursion eliminates the computation of initial probability values based on cumbersome factorial expressions.

Educational and Psychological Measurement, Vol. 48, No. 3, 713-716 (1988)
DOI: 10.1177/0013164488483019
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